Base | Representation |
---|---|
bin | 1101100101000100101… |
… | …1111100010011101000 |
3 | 211022011101220010010011 |
4 | 3121101023330103220 |
5 | 12310234310202310 |
6 | 255101101101304 |
7 | 22566102664600 |
oct | 3312113742350 |
9 | 738141803104 |
10 | 233290319080 |
11 | 8aa353376a5 |
12 | 39268557834 |
13 | 18ccb287030 |
14 | b411505c00 |
15 | 6105d8c78a |
hex | 36512fc4e8 |
233290319080 has 96 divisors (see below), whose sum is σ = 657571136040. Its totient is φ = 73832532480.
The previous prime is 233290319071. The next prime is 233290319089. The reversal of 233290319080 is 80913092332.
It is a happy number.
233290319080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (233290319071) and next prime (233290319089).
It can be written as a sum of positive squares in 4 ways, for example, as 96344435236 + 136945883844 = 310394^2 + 370062^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is not an unprimeable number, because it can be changed into a prime (233290319089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552431 + ... + 4603390.
Almost surely, 2233290319080 is an apocalyptic number.
233290319080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
233290319080 is an abundant number, since it is smaller than the sum of its proper divisors (424280816960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233290319080 is a wasteful number, since it uses less digits than its factorization.
233290319080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9155859 (or 9155848 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 40.
The spelling of 233290319080 in words is "two hundred thirty-three billion, two hundred ninety million, three hundred nineteen thousand, eighty".
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